Biancalani Tommaso, Rogers Tim, McKane Alan J
Theoretical Physics Division, School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 1):010106. doi: 10.1103/PhysRevE.86.010106. Epub 2012 Jul 30.
Intracellular biochemical reactions exhibit a rich dynamical phenomenology which cannot be explained within the framework of mean-field rate equations and additive noise. Here, we show that the presence of metastable states and radically different time scales are general features of a broad class of autocatalytic reaction networks, and that this fact may be exploited to gain analytical results. The latter point is demonstrated by a treatment of the paradigmatic Togashi-Kaneko reaction, which has resisted theoretical analysis for the last decade.
细胞内生化反应呈现出丰富的动力学现象学,这在平均场速率方程和加性噪声的框架内无法得到解释。在此,我们表明亚稳态的存在以及截然不同的时间尺度是一大类自催化反应网络的普遍特征,并且这一事实可被用来获得分析结果。后一点通过对典型的富㭴 - 金子反应的处理得以证明,该反应在过去十年一直抗拒理论分析。